Details

simplify25.8m (57.1%)

end12.7m (28.2%)

sample3.4m (7.6%)

Algorithm
69×halfpoints

prune2.2m (4.9%)

localize33.9s (1.3%)

regimes17.7s (0.7%)

Accuracy

Total 8.4b remaining (34.2%)

Threshold costs 8.4b (34.2%)

0.9b0%Octave 3.8, jcobi/4
0.5b0%Jmat.Real.dawson
0.5b0%quadm (p42, negative)
0.4b0%quad2m (problem 3.2.1, negative)
0.4b0%quadp (p42, positive)

rewrite8.5s (0.3%)

Algorithm
122×rewrite-expression-head
Calls

398 calls:

444.0ms
(+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
419.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))) (real->posit16 1.0))
162.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
161.0ms
(/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
150.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
Rules
14733×p16-times-frac
11380×*p16-lft-identity-expand p16-*-un-lft-identity
7135×*p16-rgt-identity-expand
1952×distribute-lft-out--
1846×distribute-lft-out p16-distribute-lft-out
1442×/p16-rgt-identity-expand
940×introduce-quire
913×associate-/r/
830×+p16-lft-identity-expand +p16-rgt-identity-expand
783×distribute-rgt-out
748×distribute-rgt-out--
683×associate-*l*
640×-p16-rgt-identity-expand
588×associate-/l*
577×associate-/r*
410×distribute-lft-in distribute-rgt-in
373×associate-*r*
335×insert-quire-fdp-add
270×associate--l+
204×insert-quire-fdp-sub
176×p16-flip--
175×associate-*r/
173×associate-+r+
166×associate-+l+
149×difference-of-squares
140×associate-*l/
134×associate-/l/
119×associate--r+
107×sub-neg
95×insert-quire-add
93×associate-+r- insert-quire-sub
91×distribute-lft1-in
86×associate-+l- *-commutative
76×+-commutative
71×associate--r-
65×associate--l-
22×difference-of-sqr-1
distribute-rgt1-in
sqrt-sqrd.p16

series31.0ms (0.0%)

Calls

398 calls:

0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.0ms
(*.p16 (+.p16 im im) re)
0.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.0ms
(*.p16 (-.p16 re im) (+.p16 im re))

bsearch1.0ms (0.0%)